Search Results for "finite difference"
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Showing 25 open source projects for "finite difference"
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FiniteDifferences.jl
High accuracy derivatives, estimated via numerical finite differences
FiniteDifferences.jl estimates derivatives with finite differences. See also the Python package FDM. FiniteDiff.jl and FiniteDifferences.jl are similar libraries: both calculate approximate derivatives numerically. You should definitely use one or the other, rather than the legacy Calculus.jl finite differencing, or reimplementing it yourself. At some point in the future, they might merge, or one might depend on the other. -
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MethodOfLines.jl
Automatic Finite Difference PDE solving with Julia SciML
MethodOfLines.jl is a Julia package for automated finite difference discretization of symbolically defined PDEs in N dimensions. It uses symbolic expressions for systems of partial differential equations as defined with ModelingToolkit.jl, and Interval from DomainSets.jl to define the space(time) over which the simulation runs. This project is under active development, therefore the interface is subject to change. -
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JUDI.jl
Julia Devito inversion
...The focus of the package lies on seismic modeling as well as PDE-constrained optimization such as full-waveform inversion (FWI) and imaging (LS-RTM). Wave equations in JUDI are solved with Devito, a Python domain-specific language for automated finite-difference (FD) computations. JUDI's modeling operators can also be used as layers in (convolutional) neural networks to implement physics-augmented deep learning algorithms thanks to its implementation of ChainRules's rrule for the linear operators representing the discre wave equation. -
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StructuralEquationModels.jl
A fast and flexible Structural Equation Modelling Framework
...We provide fast objective functions, gradients, and for some cases hessians as well as approximations thereof. As a user, you can easily define custom loss functions. For those, you can decide to provide analytical gradients or use finite difference approximation / automatic differentiation. You can choose to mix loss functions natively found in this package and those you provide. In such cases, you optimize over a sum of different objectives (e.g. ML + Ridge). This strategy also applies to gradients, where you may supply analytic gradients or opt for automatic differentiation or mixed analytical and automatic differentiation. ... -
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Library for ion optics, plasma extraction and space charge dominated ion beam transport.
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DiffEqOperators.jl
Linear operators for discretizations of differential equations
DiffEqOperators.jl is a package for finite difference discretization of partial differential equations. It allows building lazy operators for high order non-uniform finite differences in an arbitrary number of dimensions, including vector calculus operators. For the operators, both centered and upwind operators are provided, for domains of any dimension, arbitrarily spaced grids, and for any order of accuracy. -
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APBS
Biomolecular electrostatics software
This software has moved to http://www.poissonboltzmann.org/. -
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GMES
GMES is a free Python package for FDTD electromagnetic simulations.
GMES is a free finite-difference time-domain (FDTD) simulation Python package developed at GIST to model photonic devices. Its features include simulation in 1D, 2D, and 3D Cartesian coordinates, distributed memory parallelism on any system supporting the MPI standard, portable to any Unix-like system, variuos dispersive ε(ω) models, CPML absorbing boundaries and/or Bloch-periodic boundary conditions, and arbitrary material and source distributions. -
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FDAC3DMOD
an open source 3D acoustic forward simulation software package
fdac3dmod is an open source 3D acoustic forward simulation software. It solves 3D acoustic velocity-pressure equations via finite-difference time-domain (FDTD) method with perfectly matched layers (PML) used as the boundary condition. -
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KEMP
A FDTD solver for electromagnetic wave simulations on a GPU cluster
KEMP is a fast FDTD solver on a GPU-based cluster. The FDTD (Finite-Difference Time-Domain) method is a popular numerical method for electromagnetic field simulations. KEMP enables hardware accelerations suitable for multi-GPU, multi-core CPU and GPU cluster. KEMP also provide easy configuration by using Python scripting language. -
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Acoustic FDTD Solver (AC2D) -- is a software to simulate acoustic wave propagation in two dimensions based on the finite-difference time-domain (FDTD) method.
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WOLFSIM: Wideband Optical FDTD Simulator
FDTD Electomagnetic Wave Simulation Software
WOLFSIM is a Finite-Difference Time-Domain electromagnetic simulator, designed to be easy to use but still very powerful, developed and maintained by researchers at North Carolina State University. It's features include: -1D, 2D, and 3D structures that are periodic in 1 or 2 dimensions -Materials that are anisotropic in permittivity and conductivity -Obliquely incident sources -Built-in vectorial (i.e. full polarization) near-to-far-field transformation See these publications for full details on the algorithm: http://www.ece.ncsu.edu/oleg/files-wiki/6/62/SPIE_12_Miskiewicz_wolfsim3D.pdf http://www.ece.ncsu.edu/oleg/files-wiki/1/13/OptExpress07_OH.pdf -
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The parallelized FDTD Schrodinger Solver implements a parallel algorithm for solving the time-independent 3d Schrodinger equation using the finite difference time domain (FDTD) method. See the Hosted Apps > MediaWiki menu item for more information.
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The Finite Difference Time Domain (FDTD) method is a powerfull numerical technique to solve the Maxwell equations. Here you can find parallel FDTD codes developed by Zsolt Szabó. The codes can be run under UNIX and Windows operating systems.
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Fast Solver for Potential and LFFFs
This is a fast solver for global potential field in the Solar Corona
...The global potential field and the LFFF are dealt with in an unified way by solving a three-dimensional Helmholtz equation in spherical shell and a two-dimensional Poisson equation on the photosphere. The solver is based on a combination of the spectral method and the finite-difference scheme. In longitude direction the equation is transformed into Fourier spectral space and the resulted 2D equations in r–θ plane for the Fourier coefficients are solved by finite difference in a direct way. The solver shows a distinguish virtue of extremely fast computing speed, e.g., the computation for a magnetogram with resolution of 180(θ) × 360(φ) is completed by only less than two seconds and even on a very high resolution 600 × 1200, the solution can be obtained within about one minute on a single 2.66G CPU. -
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SPSens
Stochastic parameter sensitivity analysis for chemical networks
SPSens is a complete software package written in C that estimates parameter sensitivities for stochastic models of chemical and biochemical reaction networks using Monte Carlo (MC) stochastic simulations. It is possible to estimate sensitivities with respect to system parameters using the following algorithms: finite difference methods (crude monte carlo, common reaction path, coupled finite differences); likelihood ratio methods; and regularized pathwise derivatives. Additionally the package includes basic stochastic simulation algorithms. The package includes several example networks which can be easily modified for other networks. Serial and parallel MPI implementations can be built and called from the command line. ... -
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B-CALM or Belgium California Light Machine is a fast 3D GPU-based Finite-Difference Time-Domain simulation tool for electromagnetic simulations. Please refer to the following paper when citing B-CALM in your work. http://www.springerlink.com/content/d57515v86724u222/
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RobOptim is a C++ generic non-linear optimization library for robotics. The core level allows user to define problem optimization in a generic way in order to use different back-ends.
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Finite difference modeling of human head electromagnetics using alternating direction implicit (ADI) method ported to the IBM Cell Broadband Engine.
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A repository of Direct Numerical Simulation codes (Full solutions of the Navier Stokes Equations in fluid dynamics) in various geometries using a mix of high-order finite-difference and spectral methods.
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foac is a software for calculating acoustic field by finite difference time domain method( FDTD ). This project includes dynamic link libraries and binding scripts for Matlab/Scilab.
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The project pyFDM is a framework implemented in Python for solving partial differential equations with the Finite Difference Method. It is not actively developed anymore.
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GGGG's a Great Grid Generator (4G) is a boundary fitted, curvilinear, grid generation tool for 2-d finite difference modeling. It is written in Python with the Numeric extensions. Most classes have been written, but it does nothing useful, yet...
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Seismic Wave Propagation in 2D acoustic or elastic media using the following methods: Staggered-Grid Finite Difference Method, Spectral Element Method, Interior-Penalty Discontinuous Galerkin Method, and Isogeometric Method.
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BigBoy is a three dimensional Finite-Difference Time-Domain (FDTD) simulator for photonics (plasmonics, photonic crystals or high index-contrast structures). Please, refer the successor of this project, GMES (http://sf.net/projects/gmes).
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